EOC Review Day 5

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent in a quadratic function?

Back

The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the function.

Front

How do you find the vertex of a quadratic function in standard form?

Back

For a quadratic function in standard form f(x) = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a). The y-coordinate can be found by substituting this x value back into the function.

Front

What is the Interquartile Range (IQR)?

Back

The Interquartile Range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the range of the middle 50% of the data.

Front

How do you calculate the average rate of change of a function over an interval?

Back

The average rate of change of a function f(x) over the interval [a, b] is calculated using the formula (f(b) - f(a)) / (b - a).

Front

What is the significance of the maximum and minimum values in a data set?

Back

The maximum value is the largest data point, while the minimum value is the smallest. Together, they provide a range of the data set and help identify outliers.

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is f(t) = a * e^(-kt), where a is the initial amount, k is the decay constant, and t is time.

Front

How do you evaluate an exponential function at a given point?

Back

To evaluate an exponential function f(x) = a * b^x at a specific point x = c, substitute c into the function: f(c) = a * b^c.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line (f(x) = mx + b), while a quadratic function has a variable rate of change and is represented by a parabola (f(x) = ax^2 + bx + c).

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.